A random sample of 120 observations produced a mean of \bar{x} =30.5 from a population with a normal distribution and a standard deviation \sigma =2.35.
(a) Find a 99% confidence interval for \mu
<=\mu <=
(b) Find a 90% confidence interval for \mu
<=\mu <=
(c) Find a 95% confidence interval for \mu
<=\mu <=